An expansion theorem for water-wave potentials

DOI10.1007/BF00039187zbMath0598.76021MaRDI QIDQ1080304

Gerassimos A. Athanassoulis

Publication date: 1984

Published in: Journal of Engineering Mathematics (Search for Journal in Brave)

zbMATH Keywords

conformal mappingfree surfacenumerical solutionconditions at infinityfluid of infinite depthbody boundaryconvergent series of wave-free multipolesgeneral multipole expansioninfinitely long, horizontal cylinder of arbitrary cross sectionlinearized free-surface and body-boundary conditionsTexeira's serieswave potential

Mathematics Subject Classification ID

Water waves, gravity waves; dispersion and scattering, nonlinear interaction (76B15) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05) Series expansions (e.g., Taylor, Lidstone series, but not Fourier series) (41A58)

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A Function-theoretic approach to a two-dimensional transient wave-body interaction problem ⋮ Series expansions of solutions of plane elliptic partial differential equations in domains of arbitrary shape

Cites Work

• Surface Waves
• Eigenfunction expansions for objects floating in an open sea
• The Motion of Floating Bodies
• Propagation of water waves past long two-dimensional obstacles
• ON THE ROLLING MOTION OF CYLINDERS IN THE SURFACE OF A FLUID
• ON THE HEAVING MOTION OF A CIRCULAR CYLINDER ON THE SURFACE OF A FLUID
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